Equivariant Riemann-Roch theorems for curves over perfect fields
Autor(en): | Fischbacher-Weitz, Helena Koeck, Bernhard |
Stichwörter: | COHOMOLOGY; GALOIS-MODULE STRUCTURE; Mathematics; ZARISKI | Erscheinungsdatum: | 2009 | Herausgeber: | SPRINGER HEIDELBERG | Journal: | MANUSCRIPTA MATHEMATICA | Volumen: | 128 | Ausgabe: | 1 | Startseite: | 89 | Seitenende: | 105 | Zusammenfassung: | We prove an equivariant Riemann-Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in Q. We then prove and shed some further light on a divisibility result that yields a formula with integral coefficients. Moreover, we give variants of the main theorem for equivariant locally free sheaves of higher rank. |
ISSN: | 00252611 | DOI: | 10.1007/s00229-008-0218-3 |
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